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Finding the Fourth Proportional to 1,588.70, 2,191.80 and 1,028.97

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Solution

The fourth proportional to 1,588.70, 2,191.80 and 1,028.97 is: 1,419.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,588.70 : 2,191.80 = 1,028.97 : x
  2. Step 2: Convert to fraction form
    1,588.70/2,191.80 = 1,028.97/x
  3. Step 3: Cross multiply
    1,588.70x = 2,191.80 × 1,028.97
  4. Step 4: Simplify right side
    1,588.70x = 2,255,296.45
  5. Step 5: Solve for x
    x = 2,255,296.45/1,588.70
  6. Step 6: Final answer
    x = 1,419.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.